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Finding the Third Proportional to 305,340 and 645,126

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Solution

The third proportional to 305,340 and 645,126 is: 1,363,029.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,340 : 645,126 = 645,126 : x
  2. Step 2: Convert to fraction form
    305,340/645,126 = 645,126/x
  3. Step 3: Cross multiply
    305,340x = 645,126 × 645,126
  4. Step 4: Simplify right side
    305,340x = 416,187,555,876
  5. Step 5: Solve for x
    x = 416,187,555,876/305,340
  6. Step 6: Final answer
    x = 1,363,029.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.